In this work, our goal is to explore the effect of quadrupole deformation and continuum couplings on the ground-state properties of \(^{28,29,31}\) F using the RMF theory with the CMR-GF method.
To this end, we adjust the parameters in the potentials defined in Eq. (REF ),
except for \(\beta _2\)  which is kept at zero, as to reproduce the single-particle levels of the self-consistent potentials obtained in RMF calculations using the NL3 interaction [1]} in \(^{28,29,31}\) F.
One note that using other standard interactions such as the NL1, NL2, or PK1 give similar vector and scalar potentials.
